Respuesta :
Answer:
y = -√(x + 5) + 2.
Step-by-step explanation:
y = -√x
Shifting this 2 units up produces the equation:
y = -√x + 2
Moving it 5 units to the left gives:
y = -√(x + 5) + 2.
The equation of graph of [tex]y=-\sqrt{x}[/tex] is shifted 2 units up and 5 units left.
[tex]y=-\sqrt{x+5}+2[/tex]
Given :
The graph of [tex]y=-\sqrt{x}[/tex] is shifted 2 units up and 5 units left.
The parent equation of the graph is [tex]y=-\sqrt{x}[/tex]
The graph is shifted 2 units up
When any graph is shifted up then we add the units at the end
Graph shifted 'a' units up then f(x) becomes f(x) +a
when a graph is shifted 'a' units left , then we add the units with 'x'
Graph shifted 'a' units left then f(x) becomes f(x+a)
The graph of [tex]y=-\sqrt{x}[/tex] is shifted 2 units up and 5 units left.
Add 5 units with 'x' and add 2 units at the end
[tex]y=-\sqrt{x+5}+2[/tex]
Learn more : brainly.com/question/2527724